Least Common Multiple of 5663/826, 4780/2726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5663/826, 4780/2726 quickly i.e. 13534570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5663/826, 4780/2726 is 13534570.

LCM(5663/826, 4780/2726) = 13534570

LCM of 5663/826, 4780/2726

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 5663/826,4780/2726

Given numbers are 5663/826,4780/2726

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 5663,4780

Least Common Multiple of Numerators i.e. LCM of 5663,4780 is 27069140.

GCF of Denominators means GCF of 826,2726 as per the given fractions.

GCF of 826,2726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5663,4780

LCM of Fractions 5663/826,4780/2726 is 13534570

Given numbers has no common factors except 1. So, there LCM is their product i.e 27069140

Least Common Multiple of 5663,4780 with GCF Formula

Least Common Multiple of 5663,4780 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 5663,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5663,4780) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5663,4780) x common factors =1 x 1 = 1

LCM(5663,4780) = ( 5663 × 4780 ) / 1

LCM(5663,4780) = 27069140 / 1

LCM(5663,4780) = 27069140


Lets's calculate GCF of 826,2726

2 826, 2726
413, 1363

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27069140/2

Therefore the LCM of Fractions 5663/826,4780/2726 is 13534570

Greatest Common Factor of 826,2726 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,2726 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 2726

List of positive integer factors of 2726 that divides 2726 without a remainder.

1,2,29,47,58,94,1363,2726

Greatest Common Factor

We found the factors 826,2726 . The biggest common factor number is the GCF number.
So the greatest common factor 826,2726 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5663/826, 4780/2726

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 5663/826, 4780/2726?

Answer: LCM of Numerators as per given numbers 5663/826, 4780/2726 is

LCM of Numerators i.e. for 5663,4780 is 27069140

GCF of denominators i.e. for 826,2726 is 2.

Thus, LCM of Fractions is 13534570.Finally, LCM of Fractions for 5663/826, 4780/2726 is 13534570.